5 # Setup for Catacomb/Python bindings
7 # (c) 2004 Straylight/Edgeware
10 #----- Licensing notice -----------------------------------------------------
12 # This file is part of the Python interface to Catacomb.
14 # Catacomb/Python is free software; you can redistribute it and/or modify
15 # it under the terms of the GNU General Public License as published by
16 # the Free Software Foundation; either version 2 of the License, or
17 # (at your option) any later version.
19 # Catacomb/Python is distributed in the hope that it will be useful,
20 # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 # GNU General Public License for more details.
24 # You should have received a copy of the GNU General Public License
25 # along with Catacomb/Python; if not, write to the Free Software Foundation,
26 # Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
28 #----- Imports --------------------------------------------------------------
31 import types
as _types
32 from binascii
import hexlify
as _hexify
, unhexlify
as _unhexify
33 from sys
import argv
as _argv
35 #----- Basic stuff ----------------------------------------------------------
37 ## For the benefit of the default keyreporter, we need the program na,e.
40 ## Initialize the module. Drag in the static methods of the various
41 ## classes; create names for the various known crypto algorithms.
48 for i
in ['MP', 'GF', 'Field',
49 'ECPt', 'ECPtCurve', 'ECCurve', 'ECInfo',
50 'DHInfo', 'BinDHInfo', 'RSAPriv', 'BBSPriv',
51 'PrimeFilter', 'RabinMiller',
59 setattr(c
, j
[plen
:], classmethod(b
[j
]))
60 for i
in [gcciphers
, gchashes
, gcmacs
, gcprps
]:
61 for c
in i
.itervalues():
62 d
[c
.name
.replace('-', '_')] = c
63 for c
in gccrands
.itervalues():
64 d
[c
.name
.replace('-', '_') + 'rand'] = c
67 ## A handy function for our work: add the methods of a named class to an
68 ## existing class. This is how we write the Python-implemented parts of our
73 if type(a
) is _types
.MethodType
:
75 elif type(a
) not in (_types
.FunctionType
, staticmethod, classmethod):
79 ## Parsing functions tend to return the object parsed and the remainder of
80 ## the input. This checks that the remainder is input and, if so, returns
85 raise SyntaxError, 'junk at end of string'
88 #----- Bytestrings ----------------------------------------------------------
92 return ByteString(_unhexify(x
))
93 fromhex
= staticmethod(fromhex
)
97 return 'bytes(%r)' %
hex(me
)
98 _augment(ByteString
, _tmp
)
99 bytes
= ByteString
.fromhex
101 #----- Multiprecision integers and binary polynomials -----------------------
104 def negp(x
): return x
< 0
105 def posp(x
): return x
> 0
106 def zerop(x
): return x
== 0
107 def oddp(x
): return x
.testbit(0)
108 def evenp(x
): return not x
.testbit(0)
109 def mont(x
): return MPMont(x
)
110 def barrett(x
): return MPBarrett(x
)
111 def reduce(x
): return MPReduce(x
)
114 if x
< 0: raise ValueError, 'factorial argument must be > 0'
115 return MPMul
.product(xrange(1, x
+ 1))
116 factorial
= staticmethod(factorial
)
120 def zerop(x
): return x
== 0
121 def reduce(x
): return GFReduce(x
)
122 def trace(x
, y
): return x
.reduce().trace(y
)
123 def halftrace(x
, y
): return x
.reduce().halftrace(y
)
124 def modsqrt(x
, y
): return x
.reduce().sqrt(y
)
125 def quadsolve(x
, y
): return x
.reduce().quadsolve(y
)
130 'product(ITERABLE) or product(I, ...) -> PRODUCT'
131 return MPMul(*arg
).done()
132 product
= staticmethod(product
)
133 _augment(MPMul
, _tmp
)
135 #----- Abstract fields ------------------------------------------------------
138 def fromstring(str): return _checkend(Field
.parse(str))
139 fromstring
= staticmethod(fromstring
)
140 _augment(Field
, _tmp
)
143 def __repr__(me
): return '%s(%sL)' %
(type(me
).__name__
, me
.p
)
144 def ec(me
, a
, b
): return ECPrimeProjCurve(me
, a
, b
)
145 _augment(PrimeField
, _tmp
)
148 def __repr__(me
): return '%s(%sL)' %
(type(me
).__name__
, hex(me
.p
))
149 def ec(me
, a
, b
): return ECBinProjCurve(me
, a
, b
)
150 _augment(BinField
, _tmp
)
153 def __str__(me
): return str(me
.value
)
154 def __repr__(me
): return '%s(%s)' %
(repr(me
.field
), repr(me
.value
))
157 #----- Elliptic curves ------------------------------------------------------
161 return '%s(%r, %s, %s)' %
(type(me
).__name__
, me
.field
, me
.a
, me
.b
)
163 return ecpt
.frombuf(me
, s
)
165 return ecpt
.fromraw(me
, s
)
168 _augment(ECCurve
, _tmp
)
172 if not me
: return 'ECPt()'
173 return 'ECPt(%s, %s)' %
(me
.ix
, me
.iy
)
175 if not me
: return 'inf'
176 return '(%s, %s)' %
(me
.ix
, me
.iy
)
181 return 'ECInfo(curve = %r, G = %r, r = %s, h = %s)' % \
182 (me
.curve
, me
.G
, me
.r
, me
.h
)
185 _augment(ECInfo
, _tmp
)
189 if not me
: return '%r()' %
(me
.curve
)
190 return '%r(%s, %s)' %
(me
.curve
, me
.x
, me
.y
)
192 if not me
: return 'inf'
193 return '(%s, %s)' %
(me
.x
, me
.y
)
194 _augment(ECPtCurve
, _tmp
)
196 #----- Key sizes ------------------------------------------------------------
199 def __repr__(me
): return 'KeySZAny(%d)' % me
.default
200 def check(me
, sz
): return True
201 def best(me
, sz
): return sz
202 _augment(KeySZAny
, _tmp
)
206 return 'KeySZRange(%d, %d, %d, %d)' % \
207 (me
.default
, me
.min, me
.max, me
.mod
)
208 def check(me
, sz
): return me
.min <= sz
<= me
.max and sz % me
.mod
== 0
210 if sz
< me
.min: raise ValueError, 'key too small'
211 elif sz
> me
.max: return me
.max
212 else: return sz
- (sz % me
.mod
)
213 _augment(KeySZRange
, _tmp
)
216 def __repr__(me
): return 'KeySZSet(%d, %s)' %
(me
.default
, me
.set)
217 def check(me
, sz
): return sz
in me
.set
221 if found
< i
<= sz
: found
= i
222 if found
< 0: raise ValueError, 'key too small'
224 _augment(KeySZSet
, _tmp
)
226 #----- Abstract groups ------------------------------------------------------
230 return '%s(p = %s, r = %s, g = %s)' % \
231 (type(me
).__name__
, me
.p
, me
.r
, me
.g
)
232 _augment(FGInfo
, _tmp
)
235 def group(me
): return PrimeGroup(me
)
236 _augment(DHInfo
, _tmp
)
239 def group(me
): return BinGroup(me
)
240 _augment(BinDHInfo
, _tmp
)
244 return '%s(%r)' %
(type(me
).__name__
, me
.info
)
245 _augment(Group
, _tmp
)
249 return '%r(%r)' %
(me
.group
, str(me
))
252 #----- RSA encoding techniques ----------------------------------------------
254 class PKCS1Crypt (object):
255 def __init__(me
, ep
= '', rng
= rand
):
258 def encode(me
, msg
, nbits
):
259 return _base
._p1crypt_encode(msg
, nbits
, me
.ep
, me
.rng
)
260 def decode(me
, ct
, nbits
):
261 return _base
._p1crypt_decode(ct
, nbits
, me
.ep
, me
.rng
)
263 class PKCS1Sig (object):
264 def __init__(me
, ep
= '', rng
= rand
):
267 def encode(me
, msg
, nbits
):
268 return _base
._p1sig_encode(msg
, nbits
, me
.ep
, me
.rng
)
269 def decode(me
, msg
, sig
, nbits
):
270 return _base
._p1sig_decode(msg
, sig
, nbits
, me
.ep
, me
.rng
)
273 def __init__(me
, mgf
= sha_mgf
, hash = sha
, ep
= '', rng
= rand
):
278 def encode(me
, msg
, nbits
):
279 return _base
._oaep_encode(msg
, nbits
, me
.mgf
, me
.hash, me
.ep
, me
.rng
)
280 def decode(me
, ct
, nbits
):
281 return _base
._oaep_decode(ct
, nbits
, me
.mgf
, me
.hash, me
.ep
, me
.rng
)
284 def __init__(me
, mgf
= sha_mgf
, hash = sha
, saltsz
= None, rng
= rand
):
291 def encode(me
, msg
, nbits
):
292 return _base
._pss_encode(msg
, nbits
, me
.mgf
, me
.hash, me
.saltsz
, me
.rng
)
293 def decode(me
, msg
, sig
, nbits
):
294 return _base
._pss_decode(msg
, sig
, nbits
,
295 me
.mgf
, me
.hash, me
.saltsz
, me
.rng
)
298 def encrypt(me
, msg
, enc
):
299 return me
.pubop(enc
.encode(msg
, me
.n
.nbits
))
300 def verify(me
, msg
, sig
, enc
):
301 if msg
is None: return enc
.decode(msg
, me
.pubop(sig
), me
.n
.nbits
)
303 x
= enc
.decode(msg
, me
.pubop(sig
), me
.n
.nbits
)
304 return x
is None or x
== msg
307 _augment(RSAPub
, _tmp
)
310 def decrypt(me
, ct
, enc
): return enc
.decode(me
.privop(ct
), me
.n
.nbits
)
311 def sign(me
, msg
, enc
): return me
.privop(enc
.encode(msg
, me
.n
.nbits
))
312 _augment(RSAPriv
, _tmp
)
314 #----- Built-in named curves and prime groups -------------------------------
316 class _groupmap (object):
317 def __init__(me
, map, nth
):
320 me
.i
= [None] * (max(map.values()) + 1)
322 return '{%s}' %
', '.join(['%r: %r' %
(k
, me
[k
]) for k
in me
])
323 def __contains__(me
, k
):
325 def __getitem__(me
, k
):
330 def __setitem__(me
, k
, v
):
331 raise TypeError, "immutable object"
343 return [k
for k
in me
]
345 return [me
[k
] for k
in me
]
347 return [(k
, me
[k
]) for k
in me
]
348 eccurves
= _groupmap(_base
._eccurves
, ECInfo
._curven
)
349 primegroups
= _groupmap(_base
._pgroups
, DHInfo
._groupn
)
350 bingroups
= _groupmap(_base
._bingroups
, BinDHInfo
._groupn
)
352 #----- Prime number generation ----------------------------------------------
354 class PrimeGenEventHandler (object):
355 def pg_begin(me
, ev
):
359 def pg_abort(me
, ev
):
366 class SophieGermainStepJump (object):
367 def pg_begin(me
, ev
):
368 me
.lf
= PrimeFilter(ev
.x
)
369 me
.hf
= me
.lf
.muladd(2, 1)
375 while me
.lf
.status
== PGEN_FAIL
or me
.hf
.status
== PGEN_FAIL
:
377 if me
.lf
.status
== PGEN_ABORT
or me
.hf
.status
== PGEN_ABORT
:
380 if me
.lf
.status
== PGEN_DONE
and me
.hf
.status
== PGEN_DONE
:
387 class SophieGermainStepper (SophieGermainStepJump
):
388 def __init__(me
, step
):
395 class SophieGermainJumper (SophieGermainStepJump
):
396 def __init__(me
, jump
):
397 me
.ljump
= PrimeFilter(jump
);
398 me
.hjump
= me
.ljump
.muladd(2, 0)
405 SophieGermainStepJump
.pg_done(me
, ev
)
407 class SophieGermainTester (object):
410 def pg_begin(me
, ev
):
411 me
.lr
= RabinMiller(ev
.x
)
412 me
.hr
= RabinMiller(2 * ev
.x
+ 1)
414 lst
= me
.lr
.test(ev
.rng
.range(me
.lr
.x
))
415 if lst
!= PGEN_PASS
and lst
!= PGEN_DONE
:
417 rst
= me
.hr
.test(ev
.rng
.range(me
.hr
.x
))
418 if rst
!= PGEN_PASS
and rst
!= PGEN_DONE
:
420 if lst
== PGEN_DONE
and rst
== PGEN_DONE
:
427 class PrimitiveStepper (PrimeGenEventHandler
):
433 def pg_begin(me
, ev
):
434 me
.i
= iter(smallprimes
)
437 class PrimitiveTester (PrimeGenEventHandler
):
438 def __init__(me
, mod
, hh
= [], exp
= None):
444 if me
.exp
is not None:
445 x
= me
.mod
.exp(x
, me
.exp
)
446 if x
== 1: return PGEN_FAIL
448 if me
.mod
.exp(x
, h
) == 1: return PGEN_FAIL
452 class SimulStepper (PrimeGenEventHandler
):
453 def __init__(me
, mul
= 2, add
= 1, step
= 2):
457 def _stepfn(me
, step
):
459 raise ValueError, 'step must be positive'
461 return lambda f
: f
.step(step
)
462 j
= PrimeFilter(step
)
463 return lambda f
: f
.jump(j
)
464 def pg_begin(me
, ev
):
466 me
.lf
= PrimeFilter(x
)
467 me
.hf
= PrimeFilter(x
* me
.mul
+ me
.add
)
468 me
.lstep
= me
._stepfn(me
.step
)
469 me
.hstep
= me
._stepfn(me
.step
* me
.mul
)
470 SimulStepper
._cont(me
, ev
)
478 while me
.lf
.status
== PGEN_FAIL
or me
.hf
.status
== PGEN_FAIL
:
480 if me
.lf
.status
== PGEN_ABORT
or me
.hf
.status
== PGEN_ABORT
:
483 if me
.lf
.status
== PGEN_DONE
and me
.hf
.status
== PGEN_DONE
:
492 class SimulTester (PrimeGenEventHandler
):
493 def __init__(me
, mul
= 2, add
= 1):
496 def pg_begin(me
, ev
):
498 me
.lr
= RabinMiller(x
)
499 me
.hr
= RabinMiller(x
* me
.mul
+ me
.add
)
501 lst
= me
.lr
.test(ev
.rng
.range(me
.lr
.x
))
502 if lst
!= PGEN_PASS
and lst
!= PGEN_DONE
:
504 rst
= me
.hr
.test(ev
.rng
.range(me
.hr
.x
))
505 if rst
!= PGEN_PASS
and rst
!= PGEN_DONE
:
507 if lst
== PGEN_DONE
and rst
== PGEN_DONE
:
514 def sgprime(start
, step
= 2, name
= 'p', event
= pgen_nullev
, nsteps
= 0):
516 return pgen(start
, name
, SimulStepper(step
= step
), SimulTester(), event
,
517 nsteps
, RabinMiller
.iters(start
.nbits
))
519 def findprimitive(mod
, hh
= [], exp
= None, name
= 'g', event
= pgen_nullev
):
520 return pgen(0, name
, PrimitiveStepper(), PrimitiveTester(mod
, hh
, exp
),
523 def kcdsaprime(pbits
, qbits
, rng
= rand
,
524 event
= pgen_nullev
, name
= 'p', nsteps
= 0):
525 hbits
= pbits
- qbits
526 h
= pgen(rng
.mp(hbits
, 1), name
+ ' [h]',
527 PrimeGenStepper(2), PrimeGenTester(),
528 event
, nsteps
, RabinMiller
.iters(hbits
))
529 q
= pgen(rng
.mp(qbits
, 1), name
, SimulStepper(2 * h
, 1, 2),
530 SimulTester(2 * h
, 1), event
, nsteps
, RabinMiller
.iters(qbits
))
534 #----- That's all, folks ----------------------------------------------------